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Scalar induced gravitational waves in f(R) gravity

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arxiv 2409.07702 v2 pith:MTQEFLEP submitted 2024-09-12 gr-qc astro-ph.COhep-th

Jing-Zhi Zhou , Yu-Ting Kuang , Di Wu , Fei-Yu Chen , H. Lü , Zhe Chang This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords gravitationalorderscalarwavesinducedsecondgravityequation
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We investigate the first and second order cosmological perturbation equations in f(R) modified gravity theory and provide the equation of motion of second order scalar induced gravitational waves. We find that the effects of modified gravity not only change the form of the equation of motion of second order scalar induced gravitational waves but also contribute an additional anisotropic stress tensor, composed of first order scalar perturbations, to the source term of the gravitational waves. We calculate the energy density spectrum of second order scalar induced gravitational waves in the HS model. Utilizing current pulsar timing array observational data, we perform a rigorous Bayesian analysis of the parameter space of the HS model.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Magnetically assisted primordial scalar perturbations: Scalar-Induced Gravitational Waves

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    PMF-sourced scalar perturbations during a kination-like reheating can induce a gravitational-wave background that dominates over the direct PMF tensor signal and may be detectable at mHz-kHz frequencies.

  2. Circularly polarized gravitational waves from parity-violating scalar-tensor theory

    gr-qc 2026-02 conditional novelty 6.0 of 10

    In the "Qi-Xiu" parity-violating scalar-tensor theory, the L3 and L4 interactions leave linear gravitational-wave propagation GR-like but still generate circularly polarized scalar-induced gravitational waves.

  3. Primordial black hole induced gravitational waves in $f(R)$ gravity

    astro-ph.CO 2025-08 unverdicted novelty 6.0 of 10

    In R^(1+ε) gravity, exponential growth of scalar perturbations during a PBH-driven early matter era enhances the induced gravitational wave signal, with Ω_GW ∝ f on large scales.

  4. Gravitational wave signatures from reheating in Chern-Simons running-vacuum cosmology

    gr-qc 2024-11 conditional novelty 6.0 of 10

    Scalaron-induced gravitational waves in Chern-Simons running-vacuum cosmology have a universal f^6 high-frequency scaling, distinguishable from the f^7 scaling of general relativity, and may be detectable by future ob...

  5. Close Hyperbolic Encounters In f(R) Gravity

    gr-qc 2025-06 reject novelty 5.0 of 10

    In f(R) gravity, close hyperbolic black-hole encounters emit a scalar gravitational-wave mode whose promised detectability is not supported by the paper's own amplitude formulas.

  6. Tensor induced gravitational waves

    astro-ph.CO 2025-07 conditional novelty 4.0 of 10

    Second-order tensor-induced gravitational waves can shift the inferred parameters of small-scale primordial gravitational wave models fitted to NANOGrav 15-year data, with one model favored by Bayes factors.

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